# good textbook to self-learn systems of ODEs

I've taken regular Ordinary Differential Equations. Right now I'm taking Systems of ODEs and the textbook is less than stellar. I was wondering if anyone could point me to a decent self-study book for the subject.

Systems of ODEs: matrices composed of regular ODEs

Example: $\frac{d}{dt}\bigl(\begin{smallmatrix} x\\ y \end{smallmatrix} \bigr)=\bigl(\begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)\bigl(\begin{smallmatrix} x\\ y \end{smallmatrix} \bigr)$ Thanks! ^_^

You might want to peruse these online and see if they satisfy your needs and tastes:

• Differential Equations and Their Applications, M. Braun
• Differential Equations: A Dynamical Systems Approach (series) by J Hubbard and B West

There are also many excellent books of Nonlinear Equations and Chaos that include systems.

Certainly there are excellent notes and examples you can find online and I would imagine Opencourseware (like MIT). Lastly, if you have a college library, you might want to peruse it and see if there are books that suit your needs.

• You know your ODE's! +1 – Namaste Oct 14 '13 at 13:33